A weighted version of the Mishou theorem
DOI: https://doi.org/10.3846/mma.2021.12445Abstract
In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R. In the paper, the Mishou theorem is generalized for the set of above shifts having a weighted positive lower density. Also, the case of a positive density is considered.
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Hurwitz zeta-function, Mishou theorem, Riemann zeta-function, universalityHow to Cite
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